Schur-Weyl duality and the free Lie algebra
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- by Stephen Doty and J. Matthew Douglass PDF
- Proc. Amer. Math. Soc. 145 (2017), 3263-3277 Request permission
Abstract:
We prove an analogue of Schur-Weyl duality for the space of homogeneous Lie polynomials of degree $r$ in $n$ variables.References
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Additional Information
- Stephen Doty
- Affiliation: Department of Mathematics and Statistics, Loyola University Chicago, Chicago, Illinois 60660
- MR Author ID: 59395
- ORCID: 0000-0003-3927-3009
- Email: doty@math.luc.edu
- J. Matthew Douglass
- Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
- Email: douglass@unt.edu
- Received by editor(s): September 28, 2015
- Received by editor(s) in revised form: September 7, 2016
- Published electronically: January 31, 2017
- Additional Notes: This work was partially supported by grants from the Simons Foundation (Grant #245975 to the first author and #245399 to the second author)
The second author would like to acknowledge that some of this material is based upon work supported by (while serving at) the National Science Foundation - Communicated by: Pham Huu Tiep
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3263-3277
- MSC (2010): Primary 17B01, 20G43
- DOI: https://doi.org/10.1090/proc/13571
- MathSciNet review: 3652781